The expression \( a^6 + b^6 \) can be factored using algebraic identities. Unfortunately, it doesn't have a simple factorization like the sum of squares or cubes, but we can still break it down into a product of smaller polynomials using the following identity:

\[
a^6 + b^6 = (a^2 + b^2)(a^4 - a^2b^2 + b^4)
\]

This is the factorization of the sum of sixth powers.

Would you like more details on this or any specific questions related to polynomial factorization?

### Related questions:
1. How can you factor higher powers like \( a^8 + b^8 \)?
2. What is the factorization of \( a^6 - b^6 \)?
3. How can you solve equations involving \( a^6 + b^6 \)?
4. What is the general formula for factoring sums of powers?
5. How is the factorization of \( a^3 + b^3 \) different from \( a^6 + b^6 \)?

### Tip:
Always check for common factor identities like difference of squares

Explore the factorization of the expression a^6 + b^6 using algebraic identities. This guide breaks down the process into simple steps, covering polynomial factorization concepts. Suitable for students in Grades 10-12.

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